Luca Capogna

Luca Capogna

Worcester Polytechnic Institute

H-index: 25

North America-United States

About Luca Capogna

Luca Capogna, With an exceptional h-index of 25 and a recent h-index of 14 (since 2020), a distinguished researcher at Worcester Polytechnic Institute, specializes in the field of Partial Differential Equations.

His recent articles reflect a diverse array of research interests and contributions to the field:

The asymptotic p-Poisson equation as in Carnot-Carathéodory spaces

Regularity theory of quasilinear elliptic and parabolic equations in the Heisenberg group

Robust Neural Network Approach to System Identification in the High-Noise Regime

The asymptotic -Poisson equation as in Carnot-Carath\'eodory spaces

Green function in metric measure spaces

Neumann problems for -harmonic functions, and induced nonlocal operators in metric measure spaces

Lipschitz Regularity for the Parabolic p-Laplacian in the Heisenberg Group

Lipschitz regularity for solutions of the parabolic -Laplacian in the Heisenberg group

Luca Capogna Information

University

Position

Professor

Citations(all)

2808

Citations(since 2020)

790

Cited By

2343

hIndex(all)

25

hIndex(since 2020)

14

i10Index(all)

41

i10Index(since 2020)

21

Email

University Profile Page

Worcester Polytechnic Institute

Google Scholar

View Google Scholar Profile

Luca Capogna Skills & Research Interests

Partial Differential Equations

Top articles of Luca Capogna

Title

Journal

Author(s)

Publication Date

The asymptotic p-Poisson equation as in Carnot-Carathéodory spaces

Mathematische Annalen

Luca Capogna

Gianmarco Giovannardi

Andrea Pinamonti

Simone Verzellesi

2024/1/29

Regularity theory of quasilinear elliptic and parabolic equations in the Heisenberg group

Luca Capogna

Giovanna Citti

Xiao Zhong

2023/8/23

Robust Neural Network Approach to System Identification in the High-Noise Regime

Elisa Negrini

Giovanna Citti

Luca Capogna

2023/6/4

The asymptotic -Poisson equation as in Carnot-Carath\'eodory spaces

arXiv preprint arXiv:2302.03532

Luca Capogna

Gianmarco Giovannardi

Andrea Pinamonti

Simone Verzellesi

2023/2/7

Green function in metric measure spaces

arXiv preprint arXiv:2211.11974

Mario Bonk

Luca Capogna

Xiaodan Zhou

2022/11/22

Neumann problems for -harmonic functions, and induced nonlocal operators in metric measure spaces

arXiv preprint arXiv:2204.00571

Luca Capogna

Josh Kline

Riikka Korte

Nageswari Shanmugalingam

Marie Snipes

2022/4/1

Lipschitz Regularity for the Parabolic p-Laplacian in the Heisenberg Group

Luca Capogna

Giovanna Citti

Xiao Zhong

2022

Lipschitz regularity for solutions of the parabolic -Laplacian in the Heisenberg group

arXiv preprint arXiv:2106.05998

Luca Capogna

Giovanna Citti

Xiao Zhong

2021/6/10

Conformal equivalence of visual metrics in pseudoconvex domains

Mathematische Annalen

Luca Capogna

Enrico Le Donne

2021/2

System identification through Lipschitz regularized deep neural networks

Journal of Computational Physics

Elisa Negrini

Giovanna Citti

Luca Capogna

2021/11/1

A neural network ensemble approach to system identification

arXiv preprint arXiv:2110.08382

Elisa Negrini

Giovanna Citti

Luca Capogna

2021/10/15

Analysis in metric spaces

Notices of the American Mathematical Society

Mario Bonk

Luca Capogna

Piotr Hajłasz

Nageswari Shanmugalingam

Jeremy Tyson

2020/2/15

Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group

arXiv preprint arXiv:2001.08303

Luca Capogna

Giovanna Citti

Nicola Garofalo

2020/1/22

See List of Professors in Luca Capogna University(Worcester Polytechnic Institute)

Co-Authors

H-index: 68
Fanghua Lin

Fanghua Lin

New York University

H-index: 44
Nicola Garofalo

Nicola Garofalo

Università degli Studi di Padova

H-index: 31
Nageswari Shanmugalingam

Nageswari Shanmugalingam

University of Cincinnati

H-index: 28
Piotr Hajlasz

Piotr Hajlasz

University of Pittsburgh

H-index: 28
giovanna citti

giovanna citti

Università degli Studi di Bologna

H-index: 28
Donatella Danielli

Donatella Danielli

Purdue University

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